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152264442 = 231119295379
BaseRepresentation
bin10010001001101…
…01111011111010
3101121111211112210
421010311323322
5302434430232
623035315550
73526140441
oct1104657372
9347454483
10152264442
1178a49590
1242babbb6
1325712805
1416317d58
15d57a5cc
hex9135efa

152264442 has 128 divisors (see below), whose sum is σ = 373248000. Its totient is φ = 40884480.

The previous prime is 152264417. The next prime is 152264477. The reversal of 152264442 is 244462251.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1927359 + ... + 1927437.

It is an arithmetic number, because the mean of its divisors is an integer number (2916000).

Almost surely, 2152264442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152264442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186624000).

152264442 is an abundant number, since it is smaller than the sum of its proper divisors (220983558).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

152264442 is a wasteful number, since it uses less digits than its factorization.

152264442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196.

The product of its digits is 15360, while the sum is 30.

The square root of 152264442 is about 12339.5478847485. The cubic root of 152264442 is about 533.9896405571.

The spelling of 152264442 in words is "one hundred fifty-two million, two hundred sixty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 19 22 29 33 38 53 57 58 66 79 87 106 114 158 159 174 209 237 318 319 418 474 551 583 627 638 869 957 1007 1102 1166 1254 1501 1537 1653 1738 1749 1914 2014 2291 2607 3002 3021 3074 3306 3498 4187 4503 4582 4611 5214 6042 6061 6873 8374 9006 9222 11077 12122 12561 13746 16511 16907 18183 22154 25122 25201 29203 33022 33231 33814 36366 43529 46057 49533 50402 50721 58406 66462 75603 79553 87058 87609 92114 99066 101442 121423 130587 138171 151206 159106 175218 238659 242846 261174 276342 321233 364269 477318 478819 642466 728538 875083 957638 963699 1335653 1436457 1750166 1927398 2307037 2625249 2671306 2872914 4006959 4614074 5250498 6921111 8013918 13842222 25377407 50754814 76132221 152264442